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It is possible to organize group games not in a round-robin format, but using a mini-double-elimination scheme.
Let's say there are 4 players: A, B, C, and D.
Round 1:
A > B
C > D
Round 2:
A > C, and A advances from 1st place in the group.
B > D, and D is eliminated.
Round 3:
B > C, and B advances from 2nd place in the group.